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The set of Banach limits and its discrete and continuous subsets
- Authors: Avdeev N.N.1, Zvolinskii R.E.1, Semenov E.M.1, Usachev A.S.1,2
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Affiliations:
- Voronezh State University
- Central South University
- Issue: Vol 518 (2024)
- Pages: 61-64
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647994
- DOI: https://doi.org/10.31857/S2686954324040092
- EDN: https://elibrary.ru/YYXBPO
- ID: 647994
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Abstract
The note states criteria for a Banach limit to belong to discrete or to continuous part of the set of Banach limits. Diameters and radii of these parts are found, too.
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About the authors
N. N. Avdeev
Voronezh State University
Author for correspondence.
Email: nickkolok@mail.ru
Russian Federation, Voronezh
R. E. Zvolinskii
Voronezh State University
Email: roman.zvolinskiy@gmail.com
Russian Federation, Voronezh
E. M. Semenov
Voronezh State University
Email: nadezhka_ssm@geophys.vsu.ru
Russian Federation, Voronezh
A. S. Usachev
Voronezh State University; Central South University
Email: dr.alex.usachev@gmail.com
Russian Federation, Voronezh; Changsha, Hunan, People's Republic of China
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